## Algebraic Geometry Seminar

Please see the following for more related talks:

**Upcoming Seminars:**
- Wednesday, April 22, 2015, 4:30pm, 259, Algebraic Geometry Seminar

*On Lehn's hyperkaehler 8-fold*

Nicolas Addington
- Very few examples of compact hyperkaehler manifolds are known: two
infinite series and two sporadic examples, all coming in one way or
another from K3 and abelian surfaces. At the same time we can't prove
that there aren't many more examples. Recently Lehn et al. gave a new
construction of a hyperkaehler 8-fold associated to a cubic 4-fold, but
left open the question of whether it is deformation-equivalent to a
previously-known example. M. Lehn and I can now show that it is, by a
little argument with derived categories. If time permits I will outline
a very speculative approach to showing that there are no more compact
hyperkaehlers.

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